Search a number
-
+
22011200122000 = 245355271991243
BaseRepresentation
bin1010000000100111000011…
…10000111010110010010000
32212221020202101022111122011
411000103201300322302100
510341112414212401000
6114451450012352304
74431154026005605
oct500234160726220
985836671274564
1022011200122000
1170169967022a1
122575b02475694
13c3885507041b
145614c23d26ac
152828662832ba
hex1404e1c3ac90

22011200122000 has 80 divisors (see below), whose sum is σ = 53232738279552. Its totient is φ = 8802882633600.

The previous prime is 22011200121979. The next prime is 22011200122049. The reversal of 22011200122000 is 22100211022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10058379 + ... + 12049621.

Almost surely, 222011200122000 is an apocalyptic number.

22011200122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011200122000 is an abundant number, since it is smaller than the sum of its proper divisors (31221538157552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22011200122000 is a wasteful number, since it uses less digits than its factorization.

22011200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996793 (or 1996777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22011200122000 its reverse (22100211022), we get a palindrome (22033300333022).

The spelling of 22011200122000 in words is "twenty-two trillion, eleven billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5527 11054 22108 27635 44216 55270 88432 110540 138175 221080 276350 442160 552700 690875 1105400 1381750 1991243 2210800 2763500 3982486 5527000 7964972 9956215 11054000 15929944 19912430 31859888 39824860 49781075 79649720 99562150 159299440 199124300 248905375 398248600 497810750 796497200 995621500 1991243000 3982486000 11005600061 22011200122 44022400244 55028000305 88044800488 110056000610 176089600976 220112001220 275140001525 440224002440 550280003050 880448004880 1100560006100 1375700007625 2201120012200 2751400015250 4402240024400 5502800030500 11005600061000 22011200122000